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olasank [31]
3 years ago
15

the sum of the square of a number x and a number y, minus the product of three times the sum of x and 4.

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0

Answer:

x^2 + y - 3(x + 4)

Step-by-step explanation:

Do one thing at a time until you figure out the entire expression.

the sum of the square of a number x and a number y, minus the product of three times the sum of x and 4

x

the sum of the square of a number x and a number y, minus the product of three times the sum of x and 4

x^2

the sum of the square of a number x and a number y, minus the product of three times the sum of x and 4

x^2 + y

the sum of the square of a number x and a number y, minus the product of three times the sum of x and 4

x^2 + y -

the sum of the square of a number x and a number y, minus the product of three times the sum of x and 4

x^2 + y -     (x + 4)

the sum of the square of a number x and a number y, minus the product of three times the sum of x and 4

x^2 + y - 3(x + 4)

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4.7

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What is the factored form of 343 + X6?
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Answer:

Step-by-step explanation: 1.1      Factoring:  343-x6

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  343  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Polynomial Roots Calculator :

1.2    Find roots (zeroes) of :       F(x) = -x6+343

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  343  and the Trailing Constant is  -1.

The factor(s) are:

of the Leading Coefficient :  1,7 ,49 ,343

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        342.00    

     -1       7        -0.14        343.00    

     -1       49        -0.02        343.00    

     -1       343        -0.00        343.00    

     1       1        1.00        342.00    

     1       7        0.14        343.00    

     1       49        0.02        343.00    

     1       343        0.00        343.00    

Polynomial Roots Calculator found no rational roots

Final result :

 343 - x6

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A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur
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Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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where

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Convert to expanded form

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Remember that

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see the attached figure

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